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96468398760 = 23356164720369
BaseRepresentation
bin101100111010111110…
…1101111001010101000
3100020000001022102002210
41121311331233022220
53040031402230020
6112152244325120
76653401600656
oct1316575571250
9306001272083
1096468398760
1137a03994898
12168430a37a0
139134c5a376
144951dd7dd6
1527991893e0
hex1675f6f2a8

96468398760 has 128 divisors (see below), whose sum is σ = 294618643200. Its totient is φ = 25262837760.

The previous prime is 96468398731. The next prime is 96468398779. The reversal of 96468398760 is 6789386469.

It is a junction number, because it is equal to n+sod(n) for n = 96468398691 and 96468398700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4725856 + ... + 4746224.

It is an arithmetic number, because the mean of its divisors is an integer number (2301708150).

Almost surely, 296468398760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96468398760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147309321600).

96468398760 is an abundant number, since it is smaller than the sum of its proper divisors (198150244440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96468398760 is a wasteful number, since it uses less digits than its factorization.

96468398760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21091 (or 21087 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 96468398760 in words is "ninety-six billion, four hundred sixty-eight million, three hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 647 732 915 1220 1294 1464 1830 1941 2440 2588 3235 3660 3882 5176 6470 7320 7764 9705 12940 15528 19410 20369 25880 38820 39467 40738 61107 77640 78934 81476 101845 118401 122214 157868 162952 197335 203690 236802 244428 305535 315736 394670 407380 473604 488856 592005 611070 789340 814760 947208 1184010 1222140 1242509 1578680 2368020 2444280 2485018 3727527 4736040 4970036 6212545 7455054 9940072 12425090 13178743 14910108 18637635 24850180 26357486 29820216 37275270 39536229 49700360 52714972 65893715 74550540 79072458 105429944 131787430 149101080 158144916 197681145 263574860 316289832 395362290 527149720 790724580 803903323 1581449160 1607806646 2411709969 3215613292 4019516615 4823419938 6431226584 8039033230 9646839876 12058549845 16078066460 19293679752 24117099690 32156132920 48234199380 96468398760